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Finding the Fourth Proportional to 532,165.64, 734,400.18 and 290,449.16

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Solution

The fourth proportional to 532,165.64, 734,400.18 and 290,449.16 is: 400,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,165.64 : 734,400.18 = 290,449.16 : x
  2. Step 2: Convert to fraction form
    532,165.64/734,400.18 = 290,449.16/x
  3. Step 3: Cross multiply
    532,165.64x = 734,400.18 × 290,449.16
  4. Step 4: Simplify right side
    532,165.64x = 213,305,915,384.85
  5. Step 5: Solve for x
    x = 213,305,915,384.85/532,165.64
  6. Step 6: Final answer
    x = 400,826.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.